{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-01-10T03:00:27.194225Z",
     "start_time": "2019-01-10T03:00:26.327152Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fac19b86940>]"
      ]
     },
     "execution_count": 2,
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     },
     "execution_count": 2,
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       "[<matplotlib.lines.Line2D at 0x7fac19ba9a90>]"
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     "execution_count": 2,
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     "data": {
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     "data": {
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    {
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    {
     "data": {
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    {
     "data": {
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FlwLYYUrxJYQQ0v7JlEqN43/XZ6CJtxoREwow5/xpI8fn1HPsBoDHq75PBdCrmfMjhBBC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\niXP+TMtIcCdM7xgfgGmxWiDn3K6zcLuSnf3tA+AkgDc555/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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import ListedColormap\n",
    "import numpy as np\n",
    "\n",
    "color_lst = (\"#BD0026\", \"#E31A1C\", \"#E31A1C\", \"#E31A1C\", \"#FC4E2A\",\n",
    "             \"#1A9850\", \"#006837\", \"#A6D96A\", \"#A6D96A\", \"#FEB24C\", \n",
    "             \"#FEB24C\", \"#FFFF33\", \"#35978F\", \"#807DBA\", \"#B2182B\", \n",
    "             \"#737373\", \"#969696\", \"#FFFFFF\", \"#FFFFFF\", \"#4169e1\")\n",
    "\n",
    "# https://matplotlib.org/2.0.1/users/legend_guide.html?highlight=plt%20legend\n",
    "for i, color in enumerate(color_lst):\n",
    "    plt.plot(0,\n",
    "            i, \n",
    "            'o',\n",
    "            c=color,\n",
    "            markersize=10,\n",
    "            label=color)\n",
    "    plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
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   "window_display": false
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 "nbformat": 4,
 "nbformat_minor": 2
}
